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Scheduling. Production Planning Process. Process Planning. Long. Range. Strategic Capacity Planning. How much & when to produce. Medium. Aggregate Planning. Range. Manufacturing. Services. How much & when to produce the end item. Master Production Scheduling. How much & when
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Production Planning Process Process Planning Long Range Strategic Capacity Planning How much & when to produce Medium Aggregate Planning Range Manufacturing Services How much & when to produce the end item Master Production Scheduling How much & when to produce component items Material Requirements Planning Weekly Workforce & Order Scheduling Customer Scheduling Short Range Daily Workforce & Customer Scheduling
Outline • Scheduling • What is it? • Objectives • Sequencing rules • Single resource
Scheduling • Deals with the timing of operations • Specifies when resources are needed to produce a product or provide a service • Helps us decide what order to perform jobs • All organizations perform scheduling to some extent…
In service organizations, managers schedule… Nursing staff Operating room use Classroom use Instructor schedules
In manufacturing organizations, managers schedule… Workers Purchases of materials Easier to schedule here Production of goods Sort … Wash Dry Iron Grinding Lathes Forging Painting Welding Drills Milling Office Foundry machines Harder to schedule here
Sequencing Rules • Determine the order jobs are processed by a resource • Which job should a machine do first, next, etc.? • Which surgeries should go to the operating room first? • What order should you work on your course projects in? • Many sequencing rules exist • Each attempts to achieve to an objective
Objectives in Scheduling • Meet customer due dates • Minimize job lateness • Minimize response time • Minimize completion time • Minimize time in the system • Minimize overtime • Maximize machine or labor utilization • Minimize idle time • Minimize work-in-process inventory
Types of Sequencing Rules • Sequencing jobs at a single resource • Sequencing jobs across multiple resources
Sequencing Rules (Single Resource) - consider only current work center operation • Local • First Come First Served • Last Come First Served • Shortest Processing Time • Longest Processing Time • Earliest Due Date • Global • Slack Per Remaining Operation • Critical Ratio • consider current and all subsequent work center operations needed to complete job
Sequencing Rules (Single Resource) • Local • First Come First Served • Last Come First Served • Shortest Processing Time • Longest Processing Time • Earliest Due Date • Global • Slack Per Remaining Operation • Critical Ratio
Sequencing Example This semester you took 5 classes Each has a major project due at some point in the semester Projects are assigned during the first week of the semester Next, You are given an Accounting assignment… On the first day your given your English assignment Processing time: 9 3 8 2 6 Time until due: 23 15 18 6 8 English Finance Marketing Accounting Management
Sequencing Example This semester you took 5 classes Each has a major project due at some point in the semester Projects are assigned during the first week of the semester What order do you work on the projects? Processing time: 9 3 8 2 6 Time until due: 23 15 18 6 8 English Finance Marketing Accounting Management
First Come First Served (FCFS) Jobs are processed in order of arrival Which comes first? What order do you work on the projects? Processing time: 9 3 8 2 6 Time until due: 23 15 18 6 8 English Finance Marketing Accounting Management
First Come First Served (FCFS) Processing time: 9 3 8 2 6 Time until due: 23 15 18 6 8 English Finance Marketing Accounting Management
First Come First Served (FCFS) Processing time: 9 3 8 2 6 Time until due: 23 15 18 6 8 Finance Marketing Accounting Management
First Come First Served (FCFS) Processing time: 9 3 8 2 6 Time until due: 23 15 18 6 8 Finance Marketing Management
First Come First Served (FCFS) Processing time: 9 3 8 2 6 Time until due: 23 15 18 6 8 Marketing Management
First Come First Served (FCFS) Superimposing due dates… Processing time: 9 3 8 2 6 Time until due: 23 15 18 6 8 English Finance Marketing Accounting Management Management
First Come First Served (FCFS) Superimposing due dates… So 3 projects are late!! How many weeks late? Processing time: 9 3 8 2 6 Time until due: 23 15 18 6 8 English Finance Marketing Accounting Management
First Come First Served (FCFS) Superimposing due dates… So 3 projects are late!! How many weeks late? Processing time: 9 3 8 2 6 Time until due: 23 15 18 6 8 English Finance Marketing Accounting Management
First Come First Served (FCFS) Total days late Number of jobs 11 5 = = 2.2 days Avg. job lateness = Processing time: 9 3 8 2 6 Time until due: 23 15 18 6 8 English Finance Marketing Accounting Management
First Come First Served (FCFS) total time to process all jobs Makespan: = 28 days Flow time: Sum of times each job spends waiting, and being processed Processing time: 9 3 8 2 6 Time until due: 23 15 18 6 8 English Finance Marketing Accounting Management
First Come First Served (FCFS) = 28 days Makespan + + + + Flow time = 6 8 16 19 28 = 77 Processing time: 9 3 8 2 6 Time until due: 23 15 18 6 8 English Finance Marketing Accounting Management
First Come First Served (FCFS) = 28 days Makespan Flow time = = 77 Average flow time = Sum of flow times / # jobs Processing time: 9 3 8 2 6 Time until due: 23 15 18 6 8 English Finance Marketing Accounting Management
First Come First Served (FCFS) = 28 days Makespan Flow time = = 77 Average flow time = 77 days/5 jobs = 15.4 days/job Processing time: 9 3 8 2 6 Time until due: 23 15 18 6 8 English Finance Marketing Accounting Management
First Come First Served (FCFS) = 28 days Makespan Flow time = = 77 = 15.4 days/job Average flow time = Avg # jobs in system = Sum of flow times / total processing time Processing time: 9 3 8 2 6 Time until due: 23 15 18 6 8 English Finance Marketing Accounting Management
First Come First Served (FCFS) = 28 days Makespan Flow time = = 77 = 15.4 days/job Average flow time = Avg # jobs in system = 77 days/28 days = 2.75 Utilization = Total processing time / sum of flow time Processing time: 9 3 8 2 6 Time until due: 23 15 18 6 8 English Finance Marketing Accounting Management
First Come First Served (FCFS) = 28 days Makespan Flow time = = 77 = 15.4 days/job Average flow time = Avg # jobs in system = 77 days/28 days = 2.75 Utilization = 28 days/77 days = 36.4% Processing time: 9 3 8 2 6 Time until due: 23 15 18 6 8 English Finance Marketing Accounting Management
Sequencing Rules (Single Resource) • Local • First Come First Served • Last Come First Served • Shortest Processing Time • Longest Processing Time • Earliest Due Date • Global • Slack Per Remaining Operation • Critical Ratio
Last Come First Served (LCFS) As jobs pile up the operator picks the one on the top of the stack to work on Processing time: 9 3 8 2 6 Time until due: 23 15 18 6 8 English Finance Marketing Accounting Management
Last Come First Served (LCFS) Processing time: 9 3 8 2 6 Time until due: 23 15 18 6 8 English Finance Marketing Accounting Management
Last Come First Served (LCFS) Processing time: 9 3 8 2 6 Time until due: 23 15 18 6 8 English Finance Marketing Accounting
Last Come First Served (LCFS) Processing time: 9 3 8 2 6 Time until due: 23 15 18 6 8 English Finance Accounting
Last Come First Served (LCFS) Processing time: 9 3 8 2 6 Time until due: 23 15 18 6 8 English Accounting
Last Come First Served (LCFS) Superimposing due dates… Processing time: 9 3 8 2 6 Time until due: 23 15 18 6 8 English
Last Come First Served (LCFS) Superimposing due dates… So 3 projects are late!! Processing time: 9 3 8 2 6 Time until due: 23 15 18 6 8
Last Come First Served (LCFS) Superimposing due dates… Total days late Number of jobs 38 5 = = 7.6 days Avg. job lateness = Processing time: 9 3 8 2 6 Time until due: 23 15 18 6 8
Last Come First Served (LCFS) Superimposing due dates… Makespan = 28 days + + + + 12 Flow time = 9 20 22 28 = 91 Average flow time = 91 days/5 jobs = 18.2 days/job Avg # jobs in system = 91 days/28 days = 3.25 Utilization = 28 days/91 days = 30.8% Processing time: 9 3 8 2 6 Time until due: 23 15 18 6 8
Sequencing Rules (Single Resource) • Local • First Come First Served • Last Come First Served • Shortest Processing Time • Longest Processing Time • Earliest Due Date • Global • Slack Per Remaining Operation • Critical Ratio
Shortest Processing Time (SPT) Process the job with the shortest processing time first Processing time: 9 3 8 2 6 Time until due: 23 15 18 6 8 English Finance Marketing Accounting Management
Shortest Processing Time (SPT) Processing time: 9 3 8 2 6 Time until due: 23 15 18 6 8 English Finance Marketing Accounting Management
Shortest Processing Time (SPT) Processing time: 9 3 8 2 6 Time until due: 23 15 18 6 8 English Finance Marketing Management
Shortest Processing Time (SPT) Processing time: 9 3 8 2 6 Time until due: 23 15 18 6 8 English Finance Management
Shortest Processing Time (SPT) Processing time: 9 3 8 2 6 Time until due: 23 15 18 6 8 Finance Management
Shortest Processing Time (SPT) Superimposing due dates… Processing time: 9 3 8 2 6 Time until due: 23 15 18 6 8 Management
Shortest Processing Time (SPT) Superimposing due dates… Total days late Number of jobs 9 5 = = 1.8 days Avg. job lateness = Processing time: 9 3 8 2 6 Time until due: 23 15 18 6 8
Shortest Processing Time (SPT) Makespan = 28 days Flow time = + + 11 + + 5 2 19 28 = 65 Average flow time = 65 days/5 jobs = 13 days/job Avg # jobs in system = 65 days/28 days = 2.32 Utilization = 28 days/65 days = 43.1% Processing time: 9 3 8 2 6 Time until due: 23 15 18 6 8
Sequencing Rules (Single Resource) • Local • First Come First Served • Last Come First Served • Shortest Processing Time • Longest Processing Time • Earliest Due Date • Global • Slack Per Remaining Operation • Critical Ratio
Longest Processing Time (LPT) Process the job with the longest processing time first Processing time: 9 3 8 2 6 Time until due: 23 15 18 6 8 English Finance Marketing Accounting Management